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Proof step 3 from proof reach-n-unique (previous step)

reachable-n(H, n, r, r1), reachable-n(H, n, r, r0) ⊦ r0 = r1

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 4:
reachable-n(H, n0 +1, r, r0), reachable-n(H, n0 +1, r, r1), ∀ H, r, r1, r0. reachable-n(H, n0, r, r1) ∧ reachable-n(H, n0, r, r0) → r0 = r1 ⊦ r0 = r1

Rule argument

term: n

Additional information

Used simplifier rules: reachable-n-base: ⊦ reachable-n(H, 0, r, r0) ↔ r = r0;%nat freely generated by 0, +1;;